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Finding the Fourth Proportional to 311,921.41, 430,449.38 and 168,679.39

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Solution

The fourth proportional to 311,921.41, 430,449.38 and 168,679.39 is: 232,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.41 : 430,449.38 = 168,679.39 : x
  2. Step 2: Convert to fraction form
    311,921.41/430,449.38 = 168,679.39/x
  3. Step 3: Cross multiply
    311,921.41x = 430,449.38 × 168,679.39
  4. Step 4: Simplify right side
    311,921.41x = 72,607,938,000.88
  5. Step 5: Solve for x
    x = 72,607,938,000.88/311,921.41
  6. Step 6: Final answer
    x = 232,776.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.